Picard?Lindelöf theorem - Wikipedia, the free encyclopedia
The big part is to prove that f(t,x)=(x^2+t)sin(x) is Lipschitz continuous in y, uniformly continuous in t. For that, the mean value theorem would be helpful.
Picard?Lindelöf theorem - Wikipedia, the free encyclopedia
The big part is to prove that f(t,x)=(x^2+t)sin(x) is Lipschitz continuous in y, uniformly continuous in t. For that, the mean value theorem would be helpful.